Enhanced Core Algorithms

Mathematica 9 adds a large number of improvements to existing functionality, as well as a smaller amount of new functionality. There are new special functions, such as real-valued algebraic functions from elementary calculus and Mittag-Leffler's E function from fractional calculus. Matrix functions are supplied for all of Mathematica's special functions and combinations. Numerous performance and scope improvements across the system have been added.

New real-valued cube root and surd functions.

New Erlang B and C functions for capacity planning of queueing systems.

New fractional calculus function: Mittag-Leffler's E function.

Support for numeric, exact, and symbolic matrix functions.

New graph-based algorithms for sparse exact and symbolic linear algebra.

New high-performance algorithms for polynomial operations.

New compact algebraic number representation for triangular polynomial systems.

Ability to work large memory arrays and expressions only limited by 64-bit addressing.